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Finding the Fourth Proportional to 1,432.42, 2,149.60 and 507.98

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Solution

The fourth proportional to 1,432.42, 2,149.60 and 507.98 is: 762.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.42 : 2,149.60 = 507.98 : x
  2. Step 2: Convert to fraction form
    1,432.42/2,149.60 = 507.98/x
  3. Step 3: Cross multiply
    1,432.42x = 2,149.60 × 507.98
  4. Step 4: Simplify right side
    1,432.42x = 1,091,953.81
  5. Step 5: Solve for x
    x = 1,091,953.81/1,432.42
  6. Step 6: Final answer
    x = 762.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.